2003/10/28 by Jean-Sébastien Bernier, Jean-Sebastien Bernier, Chung‐Hou Chung +3 · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.69.214427
published as Phys. Rev. B 69, 214427 (2004) · Typos corrected, two references added, 7 pages, 7 figures
arxiv created 2003/10/28 · openalex publication_date 2004/06/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study possible quantum phases of the Heisenberg antiferromagnet on the planar pyrochlore lattice, also known as the checkerboard lattice or the square lattice with crossings. It is assumed that the exchange coupling on the square-lattice links is not necessarily the same as those along the crossing links. When all the couplings are the same, this model may be regarded as a two dimensional analog of the pyrochlore antiferromagnet. The large-N limit of the Sp(N) generalized model is considered and the phase diagram is obtained by analyzing the fluctuation effects about the N\ensuremath→\ensuremath∞ limit. We find a topologically ordered Z2-spin-liquid phase in a narrow region of the phase diagram as well as the plaquette-ordered and staggered spin-Peierls phases as possible quantum-disordered paramagnetic phases.